Not as in the sense of you being able to equip them differently, so no. Champions must be armed exactly the same was as their unit unless they have a rule saying different. But champions are character in another sense, in order to kill them attacks must be aimed at them and these don&#39;t carry over onto the unit and they may make and accept challenges.

The only exception that I can think of here are some high elf unit champions (eg swordmasters, dragon princes, etc) have specific points costs alllocated to the unit champion only, which they can allocate to magical items.

Chaos unit champions definitely cannot take magical items.

The iron crowned is getting closer,
Swings his hammer down on him,
Like a thunderstorm he's crushing,
Down the Noldor's proudest king.